Annals of Mathematics, Second Series, Vol. 176, No. 3 (November, 2012), pp. 1783-1826 (44 pages) We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give ...

The article is devoted to investigation of the classes of functions belonging to the gaps between classes Pn+1 (I) and Pn (I) of matrix monotone functions for full matrix algebras of successive ...